GENERAL MUNICIPAL MONEY MARKET FUND INC
497, 1995-12-07
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PROSPECTUS
MARCH 31, 1995

TABLE OF CONTENTS
                                                           Page
    ANNUAL FUND OPERATING EXPENSES.............            3
    CONDENSED FINANCIAL INFORMATION............            4
    YIELD INFORMATION..........................            4
    DESCRIPTION OF THE FUND....................            5
    MANAGEMENT OF THE FUND.....................            9
    HOW TO BUY FUND SHARES.....................           10
    SHAREHOLDER SERVICES.......................           12
    HOW TO REDEEM FUND SHARES..................           15
    DISTRIBUTION PLAN..........................           17
    SHAREHOLDER SERVICES PLANS.................           17
    DIVIDENDS, DISTRIBUTIONS AND TAXES.........           18
    GENERAL INFORMATION........................           19
- -------------------------------------------------------------------------------
        GENERAL MUNICIPAL MONEY MARKET FUND, INC. (THE "FUND") IS AN OPEN-END,
DIVERSIFIED, MANAGEMENT INVESTMENT COMPANY, KNOWN
AS A MONEY MARKET MUTUAL FUND. ITS GOAL IS TO MAXIMIZE CURRENT INCOME EXEMPT
FROM FEDERAL INCOME TAX TO THE EXTENT CONSISTENT WITH THE PRESERVATION OF
CAPITAL AND THE MAINTENANCE OF LIQUIDITY.
        YOU CAN INVEST, REINVEST OR REDEEM SHARES AT ANY TIME WITHOUT CHARGE
OR PENALTY IMPOSED BY THE FUND.
        THE DREYFUS CORPORATION PROFESSIONALLY MANAGES THE FUND'S PORTFOLIO.

        THE FUND'S SHARES MAY BE PURCHASED ONLY BY CLIENTS OF SERVICE AGENTS
AS DESCRIBED HEREIN. BY THIS PROSPECTUS, THE FUND IS OFFERING CLASS A AND
CLASS B SHARES. CLASS A SHARES AND CLASS B SHARES ARE IDENTICAL, EXCEPT AS TO
THE SERVICES OFFERED TO AND THE EXPENSES BORNE BY EACH CLASS. CLASS B SHARES
BEAR CERTAIN COSTS PURSUANT TO A PLAN ADOPTED IN ACCORDANCE WITH RULE 12B-1
UNDER THE INVESTMENT COMPANY ACT OF 1940.

        AN INVESTMENT IN THE FUND IS NEITHER INSURED NOR GUARANTEED BY THE
U.S. GOVERNMENT. THERE CAN BE NO ASSURANCE THAT THE FUND WILL BE ABLE TO
MAINTAIN A STABLE NET ASSET VALUE OF $1.00 PER SHARE.
                              ----------------
        THIS PROSPECTUS SETS FORTH CONCISELY INFORMATION ABOUT THE FUND THAT
YOU SHOULD KNOW BEFORE INVESTING. IT SHOULD BE READ AND RETAINED FOR FUTURE
REFERENCE.

        THE STATEMENT OF ADDITIONAL INFORMATION, DATED MARCH 31, 1995, WHICH
MAY BE REVISED FROM TIME TO TIME, PROVIDES A FURTHER DISCUSSION OF CERTAIN
AREAS IN THIS PROSPECTUS AND OTHER MATTERS WHICH MAY BE OF INTEREST TO SOME
INVESTORS. IT HAS BEEN FILED WITH THE SECURITIES AND EXCHANGE COMMISSION AND
IS INCORPORATED HEREIN BY REFERENCE. FOR A FREE COPY, WRITE TO THE FUND AT
144 GLENN CURTISS BOULEVARD, UNIONDALE, New York 11556-0144, or call
1-800-554-4611. When telephoning, ask for Operator 666.

                              ----------------
        MUTUAL FUND SHARES ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED
OR ENDORSED BY, ANY BANK, AND ARE NOT FEDERALLY INSURED BY THE FEDERAL
DEPOSIT INSURANCE CORPORATION, THE FEDERAL RESERVE BOARD, OR ANY OTHER
AGENCY. MONEY MARKET MUTUAL FUND SHARES INVOLVE CERTAIN INVESTMENT RISKS,
INCLUDING THE POSSIBLE LOSS OF PRINCIPAL.
- -------------------------------------------------------------------------------
THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES
AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY
IS A CRIMINAL OFFENSE.
- -------------------------------------------------------------------------------
                                                                 918p00033195


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                                   Page 2
<TABLE>

ANNUAL FUND OPERATING EXPENSES
(as a percentage of average daily net assets)
                                                                                             CLASS A         CLASS B
                                                                                            SHARES            SHARES
                                                                                          ---------         ---------
<S>                                                                                         <C>               <C>
    Management Fees..................................................                       .50%              .50%
    12b-1 Fees.......................................................                       .None             .20%
    Other Expenses...................................................                       .14%              .31%
    Total Fund Operating Expenses....................................                       .64%             1.01%
</TABLE>
<TABLE>
EXAMPLE:
    You would pay the following expenses on
    a $1,000 investment, assuming (1) 5% annual
    return and (2) redemption at the end of
    each time period:
<S>                                                      <C>                                  <C>              <C>
                                                         1 YEAR                               $    7           $  10
                                                         3 YEARS                              $  20            $  32
                                                         5 YEARS                              $  36            $  56
                                                         10 YEARS                             $  80             $124
</TABLE>

- -------------------------------------------------------------------------------
          THE AMOUNTS LISTED IN THE EXAMPLE SHOULD NOT BE CONSIDERED AS
REPRESENTATIVE OF PAST OR FUTURE EXPENSES AND ACTUAL
EXPENSES MAY BE GREATER OR LESS THAN THOSE INDICATED. MOREOVER, WHILE THE
EXAMPLE ASSUMES A 5% ANNUAL RETURN, THE FUND'S ACTUAL PERFORMANCE WILL VARY
AND MAY RESULT IN AN ACTUAL RETURN GREATER OR LESS THAN 5%.
- -------------------------------------------------------------------------------
        The purpose of the foregoing table is to assist you in understanding
the various costs and expenses borne by the Fund, and therefore indirectly by
investors, the payment of which will reduce investors' return on an annual
basis. The information in the foregoing table does not reflect any fee
waivers or expense reimbursement arrangements that may be in effect. Other
Expenses of Class B are based on amounts for Class A for the Fund's last
fiscal year. Certain Service Agents (as defined below) may charge their
clients direct fees for effecting transactions in Fund shares; such fees are
not reflected in the foregoing table. See "Management of the Fund," "How to
Buy Fund Shares," "Distribution Plan" and "Shareholder Services Plans."
                                   Page 3

CONDENSED FINANCIAL INFORMATION
        The information in the following table has been audited by Ernst &
Young LLP, the Fund's independent auditors, whose report thereon appears in
the Statement of Additional Information. Further financial data and related
notes for Class A are included in the Statement of Additional Information,
available upon request. No financial information is available for Class B
shares, which had not been offered as of the date of this Prospectus.
FINANCIAL HIGHLIGHTS

          Contained below is per share operating performance data for a share
of Common Stock outstanding, total investment return, ratios to average net
assets and other supplemental data for each year indicated. This information
has been derived from the Fund's financial statements.

<TABLE>

                                                                             YEAR ENDED NOVEMBER 30,
                                                   --------------------------------------------------------------------------------
                                                     1985    1986    1987    1988    1989    1990    1991    1992    1993    1994
                                                   ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
<S>                                                <C>     <C>     <C>     <C>     <C>     <C>     <C>     <C>     <C>     <C>

PER SHARE DATA:
  Net asset value, beginning of year               $1.0000 $ .9994 $ .9993 $ .9982 $ .9977 $ .9976 $ .9977 $ .9981 $ .9991 $ .9991
                                                   ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
  INVESTMENT OPERATIONS:
  Investment income--net.                            .0487   .0457   .0394   .0458   .0574   .0538   .0428   .0271   .0208   .0225
  Net realized and unrealized gain
  (loss) on investments..                           (.0006) (.0001) (.0011) (.0005) (.0001)  .0001   .0004   .0010   -_     (.0001)
                                                   ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
  TOTAL FROM INVESTMENT OPERATIONS                   .0481   .0456   .0383   .0453   .0573   .0539   .0432   .0281   .0208   .0224
                                                   ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
  DISTRIBUTIONS;
  Dividends from investment income -- net           (.0487) (.0457) (.0394) (.0458) (.0574) (.0538) (.0428) (.0271) (.0208) (.0225)
                                                   ------- ------- ------- ------- ------- ------- ------- ------- ------- -------
  Net asset value, end of year                     $ .9994 $ .9993 $ .9982 $ .9977 $ .9976 $ .9977 $ .9981 $ .9991 $ .9991 $ .9990
                                                   ======= ======= ======= ======= ======= ======= ======= ======= ======= =======
TOTAL INVESTMENT RETURN..                             4.98%   4.67%   4.01%   4.68%   5.89%   5.51%   4.36%   2.74%   2.10%   2.27%
RATIOS / SUPPLEMENTAL DATA:
  Ratio of expenses to average net assets              .63%    .61%    .59%    .62%    .64%    .62%    .62%    .64%    .63%    .64%
  Ratio of net investment income
  to average net assets..                             4.77%   4.44%   3.92%   4.55%   5.74%   5.39%   4.30%   2.71%   2.08%   2.22%
  Decrease reflected in above expense ratios due to
  undertakings by The Dreyfus Corporation              .04%    -_      -_      -_      -_      -_      -_      -_      -_      -_

  Net Assets, end of year (000's Omitted)         $337,310$773,167$526,063$394,583$343,917$352,320$342,595$397,912$352,147$294,711
</TABLE>
YIELD INFORMATION
        From time to time, the Fund advertises its yield and effective yield.
Both yield figures are based on historical earnings and are not intended to
indicate future performance. It can be expected that these yields will
fluctuate substantially. The yield of the Fund refers to the income generated
by an investment in the Fund over a seven-day period (which period will be
stated in the advertisement). This income is then annualized. That is, the
amount of income generated by the investment during that week is assumed to
be generated each week over a 52-week period and is shown as a percentage of
the investment. The effective yield is calculated similarly, but, when
annualized, the income earned by an investment in the Fund is assumed to be
reinvested. The effective yield will be slightly higher than the yield
because of the compounding effect of this assumed reinvestment. The Fund's
yield and effective yield may reflect absorbed expenses pursuant to any
undertaking that may be in effect. See "Management of the Fund." Both yield
figures also take into account any applicable class expenses. As a result, at
any given time, the performance of Class B should be expected to be lower
than that of Class A. See "Annual Fund Operating Expenses."
        Tax equivalent yield is calculated by determining the pre-tax yield
which, after being taxed at a stated rate, would be equivalent to a stated
yield or effective yield calculated as described above.
                                   Page 4
        Yield information is useful in reviewing the Fund's performance, but
because yields will fluctuate, under certain conditions such information may
not provide a basis for comparison with domestic bank deposits, other
investments which pay a fixed yield for a stated period of time, or other
investment companies which may use a different method of computing yield.

        Comparative performance information may be used from time to time in
advertising or marketing the Fund's shares, including data from Lipper
Analytical Services, Inc., Bank Rate Monitortrademark, N. Palm Beach, Fla.
33408, IBC/Donoghue's Money Fund ReportRegistration Mark, Morningstar, Inc.
and other industry publications.

DESCRIPTION OF THE FUND
GENERAL -- By this Prospectus, two classes of shares of the Fund are being
offered--Class A shares and Class B shares (each such class being referred to
as a "Class"). The Classes are identical, except for the services offered to
and expenses borne by each Class. Class B shares bear certain costs pursuant
to a distribution plan adopted by the Fund's Board of Directors. See
"Distribution Plan" and "Shareholder Services Plans."  In addition, Class B
shares are charged directly for sub-accounting services provided by Service
Agents at the annual rate of .05% of the value of the average daily net
assets of Class B. The sub-accounting fee paid by Class B, together with
amounts payable pursuant to the Distribution Plan and Shareholder Services
Plan, will cause Class B to have a higher expense ratio and to pay lower
dividends than Class A. You should consult your Service Agent to determine
which Class is offered by the Service Agent.
INVESTMENT OBJECTIVE -- The Fund's goal is to maximize current income exempt
from Federal income tax to the extent consistent with the preservation of
capital and the maintenance of liquidity. To accomplish this goal, the Fund
invests primarily in Municipal Obligations (described below). The Fund's
investment objective cannot be changed without approval by the holders of a
majority (as defined in the Investment Company Act of 1940) of the Fund's
outstanding voting shares. There can be no assurance that the Fund's
investment objective will be achieved. Securities in which the Fund will
invest may not earn as high a level of current income as long-term or lower
quality securities which generally have less liquidity, greater market risk
and more fluctuation in market value.
MUNICIPAL OBLIGATIONS -- Municipal Obligations are debt obligations issued by
states, territories and possessions of the United States and the District of
Columbia and their political subdivisions, agencies and instrumentalities, or
multistate agencies or authorities, the interest from which is, in the
opinion of bond counsel to the issuer, exempt from Federal income tax.
Municipal Obligations generally include debt obligations issued to obtain
funds for various public purposes as well as certain industrial development
bonds issued by or on behalf of public authorities. Municipal Obligations are
classified as general obligation bonds, revenue bonds and notes. General
obligation bonds are secured by the issuer's pledge of its faith, credit and
taxing power for the payment of principal and interest. Revenue bonds are
payable from the revenue derived from a particular facility or class of
facilities or, in some cases, from the proceeds of a special excise or other
specific revenue source, but not from the general taxing power. Tax exempt
industrial development bonds, in most cases, are revenue bonds that do not
carry the pledge of the credit of the issuing municipality, but generally are
guaranteed by the corporate entity on whose behalf they are issued. Notes are
short-term instruments which are obligations of the issuing municipalities or
agencies and are sold in anticipation of a bond sale, collection of taxes or
receipt of other revenues. Municipal Obligations include municipal
lease/purchase agreements which are similar to installment purchase contracts
for property or equipment issued by municipalities. Municipal Obligations
bear fixed, floating or variable rates of interest. Certain Municipal
Obligations are subject to redemption at a date earlier than their stated matu
rity pursuant to call options, which may be separated from the related
Municipal Obligation and purchased and sold separately.
                                   Page 5
MANAGEMENT POLICIES -- The Fund will invest at least 80% of the value of its
net assets (except when maintaining a temporary defensive position) in
Municipal Obligations.
        The Fund seeks to maintain a net asset value of $1.00 per share for
purchases and redemptions. To do so, the Fund uses the amortized cost method
of valuing its securities pursuant to Rule 2a-7 under the Investment Company
Act of 1940, certain requirements of which are summarized as follows. In
accordance with Rule 2a-7, the Fund is required to maintain a dollar-weighted
average portfolio maturity of 90 days or less, purchase only instruments
having remaining maturities of 13 months or less and invest only in U.S.
dollar denominated securities determined in accordance with procedures
established by the Board of Directors to present minimal credit risks and
which are rated in one of the two highest rating categories for debt
obligations by at least two nationally recognized statistical rating
organizations (or one rating organization if the instrument was rated only by
one such organization) or, if unrated, are of comparable quality as
determined in accordance with procedures established by the Board of
Directors. The nationally recognized statistical rating organizations
currently rating investments of the type the Fund may purchase are Moody's
Investors Service, Inc. ("Moody's"), Standard & Poor's Corporation ("S&P")
and Fitch Investors Service, Inc. ("Fitch") and their rating criteria are
described in the Appendix to the Fund's Statement of Additional Information.
For further information regarding the amortized cost method of valuing
securities, see "Determination of Net Asset Value" in the Fund's Statement of
Additional Information. There can be no assurance that the Fund will be able
to maintain a stable net asset value of $1.00 per share.
        The Fund may invest more than 25% of the value of its total assets in
Municipal Obligations which are related in such a way that an economic,
business or political development or change affecting one such security also
would affect the other securities; for example, securities the interest upon
which is paid from revenues of similar types of projects, or securities whose
issuers are located in the same state. As a result, the Fund may be subject
to greater risk as compared to a fund that does not follow this practice.
        From time to time, the Fund may invest more than 25% of the value of
its total assets in industrial development bonds which, although issued by
industrial development authorities, may be backed only by the assets and
revenues of the non-governmental users. Interest on Municipal Obligations
(including certain industrial development bonds) which are specified private
activity bonds, as defined in the Internal Revenue Code of 1986, as amended
(the "Code"), issued after August 7, 1986, while exempt from Federal income
tax, is a preference item for the purpose of the alternative minimum tax.
Where a regulated investment company receives such interest, a proportionate
share of any exempt-interest dividend paid by the investment company may be
treated as such a preference item to shareholders. The Fund may invest
without limitation in such Municipal Obligations if The Dreyfus Corporation
determines that their purchase is consistent with the Fund's investment
objective.
        The Fund may purchase floating and variable rate demand notes and
bonds, which are tax exempt obligations ordinarily having a stated maturity
in excess of 13 months, but which permit the holder to demand payment of
principal at any time or at specified intervals not exceeding 13 months, in
each case upon not more than 30 days' notice. Variable rate demand notes
include master demand notes that are obligations that permit the Fund to
invest fluctuating amounts at varying rates of interest, pursuant to direct
arrangements between the Fund, as lender, and the borrower. These obligations
permit daily changes in the amounts borrowed. As mutually agreed between the
parties, the Fund may increase or decrease the amounts under these
obligations, and the borrower may repay up to the full amount of the
obligation without penalty. Because these obligations are direct lending
arrangements between the lender and borrower, it is not contemplated that
such instruments generally will be traded, and generally there is no
established secondary market for these obligations, although they are
redeemable at face value, plus accrued interest. Accordingly, where these
obligations are not secured by letters of credit or other credit support
arrangements, the Fund's right to redeem is dependent on the ability of the
                                   Page 6
borrower to pay principal and interest on demand. Each obligation purchased
by the Fund will meet the quality criteria established for the purchase of
Municipal Obligations. The Dreyfus Corporation, on behalf of the Fund, will
consider on an ongoing basis the creditworthiness of the issuers of the
floating and variable rate demand obligations in the Fund's portfolio.
        The Fund may purchase from financial institutions participation
interests in Municipal Obligations (such as industrial development bonds and
municipal lease/purchase agreements). A participation interest gives the Fund
an undivided interest in the Municipal Obligation in the proportion that the
Fund's participation interest bears to the total principal amount of the
Municipal Obligation. These instruments may have fixed, floating or variable
rates of interest, with remaining maturities of 13 months or less. If the
participation interest is unrated, or has been given a rating below that
which otherwise is permissible for purchase by the Fund, it will be backed by
an irrevocable letter of credit or guarantee of a bank that the Board of
Directors has determined meets the prescribed quality standards for banks set
forth below, or the payment obligation otherwise will be collateralized by
U.S. Government securities. For certain participation interests, the Fund
will have the right to demand payment, on not more than seven days' notice,
for all or any part of the Fund's participation interest in the Municipal
Obligation, plus accrued interest. As to these instruments, the Fund intends
to exercise its right to demand payment only upon a default under the terms
of the Municipal Obligation, as needed to provide liquidity to meet
redemptions, or to maintain or improve the quality of its investment
portfolio.
        The Fund may purchase tender option bonds. A tender option bond is a
Municipal Obligation (generally held pursuant to a custodial arrangement)
having a relatively long maturity and bearing interest at a fixed rate
substantially higher than prevailing short-term tax exempt rates, that has
been coupled with the agreement of a third party, such as a bank,
broker-dealer or other financial institution, pursuant to which such
institution grants the security holders the option, at periodic intervals, to
tender their securities to the institution and receive the face value
thereof. As consideration for providing the option, the financial institution
receives periodic fees equal to the difference between the Municipal
Obligation's fixed coupon rate and the rate, as determined by a remarketing
or similar agent at or near the commencement of such period, that would cause
the securities, coupled with the tender option, to trade at par on the date
of such determination. Thus, after payment of this fee, the security holder
effectively holds a demand obligation that bears interest at the prevailing
short-term tax exempt rate. The Dreyfus Corporation, on behalf of the Fund,
will consider on an ongoing basis the creditworthiness of the issuer of the
underlying Municipal Obligations, of any custodian and of the third party
provider of the tender option. In certain instances and for certain tender
option bonds, the option may be terminable in the event of a default in
payment of principal or interest on the underlying Municipal Obligations and
for other reasons.
        The Fund may acquire "stand-by commitments" with respect to Municipal
Obligations held in its portfolio. Under a stand-by commitment, the Fund
obligates a broker, dealer or bank to repurchase, at the Fund's option,
specified securities at a specified price and, in this respect, stand-by
commitments are comparable to put options. The exercise of a stand-by
commitment, therefore, is subject to the ability of the seller to make
payment on demand. The Fund will acquire stand-by commitments solely to
facilitate portfolio liquidity and does not intend to exercise its rights
thereunder for trading purposes. The Fund may pay for stand-by commitments if
such action is deemed necessary, thus increasing to a degree the cost of the
underlying Municipal Obligation and similarly decreasing such security's
yield to investors. The Fund also may acquire call options on specific
Municipal Obligations. The Fund generally would purchase these call options
to protect the Fund from the issuer of the related Municipal Obligation
redeeming, or other holder of the call option from calling away, the
Municipal Obligation before maturity. The sale by the Fund of a call option
that it owns on a specific Municipal Obligation could result in the receipt
of taxable income by the Fund.
                                   Page 7
        The Fund may invest up to 10% of the value of its net assets in
securities as to which a liquid trading market does not exist, provided such
investments are consistent with the Fund's investment objective. Such
securities may include securities that are not readily marketable, such as
certain securities that are subject to legal or contractual restrictions on
resale, and repurchase agreements providing for settlement in more than seven
days after notice. As to these securities, the Fund is subject to a risk that
should the Fund desire to sell them when a ready buyer is not available at a
price the Fund deems representative of their value, the value of the Fund's
net assets could be adversely affected.
        From time to time, on a temporary basis other than for temporary
defensive purposes (but not to exceed 20% of the value of the Fund's net
assets) or for temporary defensive purposes, the Fund may invest in taxable
short-term investments ("Taxable Investments") consisting of: notes of
issuers having, at the time of purchase, a quality rating within the two
highest grades of Moody's, S&P or Fitch; obligations of the U.S. Government,
its agencies or instrumentalities; commercial paper rated P-1 by Moody's, A-1
by S&P or F-1 by Fitch; certificates of deposit of U.S. domestic banks,
including foreign branches of domestic banks, with assets of one billion
dollars or more; time deposits; bankers' acceptances and other short-term
bank obligations; and repurchase agreements in respect of any of the
foregoing. Dividends paid by the Fund that are attributable to income earned
by the Fund from Taxable Investments will be taxable to investors. See
"Dividends, Distributions and Taxes." Except for temporary defensive
purposes, at no time will more than 20% of the value of the Fund's net assets
be invested in Taxable Investments. If the Fund purchases Taxable
Investments, it will value them using the amortized cost method and comply
with the provisions of Rule 2a-7 relating to purchases of taxable
instruments. Under normal market conditions, the Fund anticipates that not
more than 5% of the value of its total assets will be invested in any one
category of Taxable Investments. Taxable Investments are more fully described
in the Statement of Additional Information, to which reference hereby is
made.
CERTAIN FUNDAMENTAL POLICIES -- The Fund may (i) borrow money from banks, but
only for temporary or emergency (not leveraging) purposes, in an amount up to
15% of the value of the Fund's total assets (including the amount borrowed)
based on the lesser of cost or market, less liabilities (not including the
amount borrowed) at the time the borrowing is made. While borrowings exceed
5% of the value of the Fund's total assets, the Fund will not make any
additional investments; (ii) pledge, hypothecate, mortgage or otherwise
encumber its assets, but only to secure borrowings for temporary or emergency
purposes; (iii) invest up to 5% of its total assets in obligations of any
issuer, except that up to 25% of the value of the Fund's total assets may be
invested, and obligations issued or guaranteed by the U.S. Government, its
agencies or instrumentalities, may be purchased, without regard to any such
limitation; and (iv) invest up to 25% of its total assets in the securities
of issuers in any industry, provided that there is no such limitation on
investments in Municipal Obligations and, for defensive purposes, securities
issued by banks and obligations issued or guaranteed by the U.S. Government,
its agencies or instrumentalities. This paragraph describes fundamental
policies that cannot be changed without approval by the holders of a majority
(as defined in the Investment Company Act of 1940) of the Fund's outstanding
voting shares. See "Investment Objective and Management Policies_Investment
Restrictions" in the Statement of Additional Information.
INVESTMENT CONSIDERATIONS -- Even though interest-bearing securities are
investments that promise a stable stream of income, the prices of such
securities are inversely affected by changes in interest rates and,
therefore, are subject to the risk of market price fluctuations. The values
of fixed-income securities also may be affected by changes in the credit
rating or financial condition of the issuing entities.
        New issues of Municipal Obligations usually are offered on a
when-issued basis, which means that delivery and payment for such Municipal
Obligations ordinarily take place within 45 days after the date of the
commitment to purchase. The payment obligation and the interest rate that
will be received on the Municipal Obligations are fixed at the time the Fund
enters into the commitment. The Fund will make commitments to
                                   Page 8
purchase such Municipal Obligations only with the intention of actually
acquiring the securities, but the Fund may sell these securities before the
settlement date if it is deemed advisable, although any gain realized on such
sale would be taxable. The Fund will not accrue income in respect of a
when-issued security prior to its stated delivery date. No additional
when-issued commitments will be made if more than 20% of the value of the
Fund's net assets would be so committed.
        Municipal Obligations purchased on a when-issued basis and the
securities held in the Fund's portfolio are subject to changes in value (both
generally changing in the same way, i.e., appreciating when interest rates
decline and depreciating when interest rates rise) based upon the public's
perception of the creditworthiness of the issuer and changes, real or
anticipated, in the level of interest rates. Municipal Obligations purchased
on a when-issued basis may expose the Fund to risk because they may experience
 such fluctuations prior to their actual delivery. Purchasing Municipal
Obligations on a when-issued basis can involve the additional risk that the
yield available in the market when the delivery takes place actually may be
higher than that obtained in the transaction itself. A segregated account of
the Fund consisting of cash, cash equivalents or U.S. Government securities
or other high quality liquid debt securities at least equal at all times to
the amount of the when-issued commitments will be established and maintained
at the Fund's custodian bank. Purchasing Municipal Obligations on a
when-issued basis when the Fund is fully or almost fully invested may result
in greater potential fluctuation in the value of the Fund's net assets and
its net asset value per share.
        Certain municipal lease/purchase obligations in which the Fund may
invest may contain "non-appropriation" clauses which provide that the
municipality has no obligation to make lease payments in future years unless
money is appropriated for such purpose on a yearly basis. Although
"non-appropriation" lease/purchase obligations are secured by the leased
property, disposition of the leased property in the event of foreclosure
might prove difficult. In evaluating the credit quality of a municipal
lease/purchase obligation that is unrated, The Dreyfus Corporation will
consider, on an ongoing basis, a number of factors including the likelihood
that the issuing municipality will discontinue appropriating funding for the
leased property.
        Certain provisions in the Code relating to the issuance of Municipal
Obligations may reduce the volume of Municipal Obligations qualifying for
Federal tax exemption. One effect of these provisions could be to increase
the cost of the Municipal Obligations available for purchase by the Fund and
thus reduce available yield. Shareholders should consult their tax advisers
concerning the effect of these provisions on an investment in the Fund.
Proposals that may restrict or eliminate the income tax exemption for
interest on Municipal Obligations may be introduced in the future. If any
such proposal were enacted that would reduce the availability of Municipal
Obligations for investment by the Fund so as to adversely affect Fund
shareholders, the Fund would reevaluate its investment objective and policies
and submit possible changes in the Fund's structure to shareholders for their
consideration. If legislation were enacted that would treat a type of
Municipal Obligation as taxable, the Fund would treat such security as a
permissible Taxable Investment within the applicable limits set forth herein.
        Investment decisions for the Fund are made independently from those
of other investment companies advised by The Dreyfus Corporation. However, if
such other investment companies are prepared to invest in, or desire to
dispose of, Municipal Obligations or Taxable Investments at the same time as
the Fund, available investments or opportunities for sales will be allocated
equitably to each investment company. In some cases, this procedure may
adversely affect the size of the position obtained or disposed of by the Fund
or the price paid or received by the Fund.
MANAGEMENT OF THE FUND

        The Dreyfus Corporation, located at 200 Park Avenue, New York, New
York 10166, was formed in 1947 and serves as the Fund's investment adviser.
The Dreyfus Corporation is a wholly-owned subsidiary of Mellon Bank, N.A.,
which is a wholly-owned subsidiary of Mellon Bank Corporation
                                   Page 9
("Mellon"). As of February 28, 1995, The Dreyfus Corporation managed or
administered approximately $72 billion in assets for approximately 1.9 million
investor accounts nationwide.

        The Dreyfus Corporation supervises and assists in the overall
management of the Fund's affairs under a Management Agreement with the Fund,
subject to the overall authority of the Fund's Board of Directors in
accordance with Maryland law.

        Mellon is a publicly owned multibank holding company incorporated
under Pennsylvania law in 1971 and registered under the Federal Bank Holding
Company Act of 1956, as amended. Mellon provides a comprehensive range of
financial products and services in domestic and selected international
markets. Mellon is among the twenty-five largest bank holding companies in
the United States based on total assets. Mellon's principal wholly-owned
subsidiaries are Mellon Bank, N.A., Mellon Bank (DE) National Association,
Mellon Bank (MD), The Boston Company, Inc., AFCO Credit Corporation and a
number of companies known as Mellon Financial Services Corporations. Through
its subsidiaries, including The Dreyfus Corporation, Mellon managed more than
$193 billion in assets as of December 31, 1994, including approximately $70
billion in mutual fund assets. As of December 31, 1994, various subsidiaries
of Mellon provided non-investment services, such as custodial or
administration services, for approximately $654 billion in assets, including
approximately $74 billion in mutual fund assets.

        For the fiscal year ended November 30, 1994, the Fund paid The
Dreyfus Corporation a monthly management fee at the annual rate of .50 of 1%
of the value of the Fund's average daily net assets. From time to time, The
Dreyfus Corporation may waive receipt of its fees and/or voluntarily assume
certain expenses of the Fund, which would have the effect of lowering the
overall expense ratio of the Fund and increasing yield to investors at the
time such amounts are waived or assumed, as the case may be. The Fund will
not pay The Dreyfus Corporation at a later time for any amounts it may waive,
nor will the Fund reimburse The Dreyfus Corporation for any amounts it may
assume.
        Class B shares bear certain costs of distributing such shares in
accordance with a plan adopted pursuant to Rule 12b-1 under the Investment
Company Act of 1940. See "Annual Fund Operating Expenses" and "Distribution
Plan."
        The Dreyfus Corporation may pay the Fund's distributor for
shareholder services from The Dreyfus Corporation's own assets, including
past profits but not including the management fee paid by the Fund. The
Fund's distributor may use part or all of such payments to pay Service Agents
in respect of these services.

        The Fund's distributor is Premier Mutual Fund Services, Inc. (the
"Distributor"), located at One Exchange Place, Boston, Massachusetts 02109.
The Distributor is a wholly-owned subsidiary of FDI Distribution Services,
Inc., a provider of mutual fund administration services, which in turn is a
wholly-owned subsidiary of FDI Holdings, Inc., the parent company of which is
Boston Institutional Group, Inc.

        The Shareholder Services Group, Inc., a subsidiary of First Data
Corporation, P.O. Box 9671, Providence, Rhode Island 02940-9671, is the
Fund's Transfer and Dividend Disbursing Agent (the "Transfer Agent"). The
Bank of New York, 90 Washington Street, New York, New York 10286, is the
Fund's Custodian.

HOW TO BUY FUND SHARES
        Fund shares may be purchased only by clients of certain financial
institutions (which may include banks), securities dealers ("Selected
Dealers"), and other industry professionals (collectively, "Service Agents")
that have entered into service agreements with the Distributor. Share
certificates are issued only upon your written request. No certificates are
issued for fractional shares. It is not recommended that the Fund be used as
a vehicle for Keogh, IRA or other qualified retirement plans. The Fund reserve
s the right to reject any purchase order.
                                   Page 10
        The minimum initial investment is $2,500, or $1,000 if you are a
client of a Service Agent which has made an aggregate minimum initial
purchase for its customers of $2,500. Subsequent investments must be at least
$100. The initial investment must be accompanied by the Fund's Account
Application.
        You may purchase Fund shares by check or wire. Checks should be made
payable to "The Dreyfus Family of Funds." Payments to open new accounts which
are mailed should be sent to The Dreyfus Family of Funds, P.O. Box 9387,
Providence, Rhode Island 02940-9387, together with your Account Application
indicating which Class of shares is being purchased. For subsequent
investments, your Fund account number should appear on the check and an
investment slip should be enclosed and sent to The Dreyfus Family of Funds,
P.O. Box 105, Newark, New Jersey 07101-0105. Neither initial nor subsequent
investments should be made by third party check. Purchase orders may be
delivered in person only to the Dreyfus Financial Center located in the lobby
of 200 Park Avenue, New York, New York. THESE ORDERS WILL BE FORWARDED TO THE
FUND AND WILL BE PROCESSED ONLY UPON RECEIPT THEREBY. All payments should be
made in U.S. dollars and, to avoid fees and delays, should be drawn only on
U.S. banks. A charge will be imposed if any check used for investment in your
account does not clear. Other purchase procedures may be in effect for clients
 of certain Service Agents. The Fund makes available to certain large
institutions the ability to issue purchase instructions through compatible
computer facilities.

        Wire payments may be made if your bank account is in a commercial
bank that is a member of the Federal Reserve System or any other bank having
a correspondent bank in New York City. Immediately available funds may be
transmitted by wire to The Bank of New York, DDA #8900052376/General
Municipal Money Market Fund, Inc._Class A, or DDA #8900251670/General
Municipal Money Market Fund, Inc._Class B, for purchase of Fund shares in
your name. The wire must include your Fund account number (for new accounts, y
our Taxpayer Identification Number ("TIN") should be included instead),
account registration and dealer number, if applicable. If your initial
purchase of Fund shares is by wire, please call 1-800-645-6561 after
completing your wire payment to obtain your Fund account number. Please
include your Fund account number on the Fund's Account Application and
promptly mail the Account Application to the Fund, as no redemptions will be
permitted until the Account Application is received. You may obtain further
information about remitting funds in this manner from your bank. All payments
should be made in U.S. dollars and, to avoid fees and delays, should be drawn
only on U.S. banks. A charge will be imposed if any check used for investment
in your account does not clear. The Fund makes available to certain large
institutions the ability to issue purchase instructions through compatible
computer facilities.

        Subsequent investments also may be made by electronic transfer of
funds from an account maintained in a bank or other domestic financial
institution that is an Automated Clearing House member. You must direct the
institution to transmit immediately available funds through the Automated
Clearing House to The Bank of New York with instructions to credit your Fund
account. The instructions must specify your Fund account registration and
your Fund account number PRECEDED BY THE DIGITS "1111."
        Management understands that some Service Agents may impose certain
conditions on their clients which are different from those described in this
Prospectus and, to the extent permitted by applicable regulatory authority,
may charge their clients direct fees for servicing. These fees would be in
addition to any amounts which might be received under the Fund's Distribution
Plan. Service Agents may receive different levels of compensation for selling
different Classes of shares. Each Service Agent has agreed to transmit to its
clients a schedule of such fees. You should consult your Service Agent in
this regard.
        Fund shares are sold on a continuous basis at the net asset value per
share next determined after an order in proper form and Federal Funds (monies
of member banks within the Federal Reserve System which are held on deposit
at a Federal Reserve Bank) are received by the Transfer Agent. If you do not
                                   Page 11
remit Federal Funds, your payment must be converted into Federal Funds. This
usually occurs within one business day of receipt of a bank wire and within
two business days of receipt of a check drawn on a member bank of the Federal
Reserve System. Checks drawn on banks that are not members of the Federal
Reserve System may take considerably longer to convert into Federal Funds.
Prior to receipt of Federal Funds, your money will not be invested.
        The Fund's net asset value per share is determined as of 12:00 Noon,
New York time, on each day the New York Stock Exchange is open for business.
Net asset value per share of each Class is computed by dividing the value of
the Fund's net assets represented by such Class (i.e., the value of its
assets less liabilities) by the total number of shares of such Class
outstanding. See "Determination of Net Asset Value" in the Fund's Statement
of Additional Information.
        If your payments are received in or converted into Federal Funds by
12:00 Noon, New York time, on a business day, you will receive the dividend
declared that day. If your payments are received in or converted into Federal
Funds after 12:00 Noon, New York time, you will begin to accrue dividends on
the following business day.
        Qualified institutions may telephone orders for purchase of Fund
shares. These orders will become effective at the price determined at 12:00
Noon, New York time, and the shares purchased will receive the dividend on
Fund shares declared on that day if the telephone order is placed by 12:00
Noon, New York time, and Federal Funds are received by 4:00 p.m., New York
time, on that day.
        Federal regulations require that you provide a certified TIN upon
opening or reopening an account. See "Dividends, Distributions and Taxes" and
the Fund's Account Application for further information concerning this
requirement. Failure to furnish a certified TIN to the Fund could subject you
to a $50 penalty imposed by the Internal Revenue Service (the "IRS").
SHAREHOLDER SERVICES
        The services and privileges described under this heading may not be
available to clients of certain Service Agents and some Service Agents may
impose certain conditions on their clients which are different from those
described in this Prospectus. You should consult your Service Agent in this
regard. In addition, use of the privileges noted below may require that the
proper forms and information be filed with and processed by the Transfer
Agent.
FUND EXCHANGES -- Clients of certain Service Agents may purchase, in exchange
for shares of the Fund, shares of certain other funds managed or administered
by The Dreyfus Corporation, to the extent such shares are offered for sale in
your state of residence. These funds have different investment objectives
that may be of interest to you. If you desire to use this service, you should
consult your Service Agent or call 1-800-645-6561 to determine if it is
available and whether any conditions are imposed on its use.

    To request an exchange, you or your Service Agent acting on your
behalf must give exchange instructions to the Transfer Agent in writing or by
telephone. Before any exchange, you must obtain and should review a copy of
the current prospectus of the fund into which the exchange is being made.
Prospectuses may be obtained by calling 1-800-645-6561. Except in the case of
Personal Retirement Plans, the shares being exchanged must have a current
value of at least $500; furthermore, when establishing a new account by
exchange, the shares being exchanged must have a value of at least the
minimum initial investment required for the fund into which the exchange is
being made. The ability to issue exchange instructions by telephone is given
to all Fund shareholders automatically, unless you check the applicable "No"
box on the Account Application, indicating that you specifically refuse this
Privilege. The Telephone Exchange Privilege may be established for an
existing account by written request, signed by all shareholders on the
account, or by a separate signed Shareholder Services Form, also available by
calling 1-800-645-6561. If you have established the Telephone Exchange
Privilege, you
                                   Page 12
may telephone exchange instructions by calling 1-800-221-4060
or, if you are calling from overseas, call
1-401-455-3306. See "How to Redeem Fund Shares_ Procedures." Upon an exchange
into a new account, the following shareholder services and privileges, as
applicable and where available, will be automatically carried over to the
fund into which the exchange is made: Telephone Exchange Privilege, Check
Redemption Privilege, Wire Redemption Privilege, Telephone Redemption
Privilege and the dividend/capital gain distribution option (except for
Dividend Sweep) selected by the investor.

        Shares will be exchanged at the next determined net asset value;
however, a sales load may be charged with respect to exchanges into funds
sold with a sales load. If you are exchanging into a fund that charges a
sales load, you may qualify for share prices that do not include the sales
load or that reflect a reduced sales load, if the shares of the fund from
which you are exchanging were: (a) purchased with a sales load, (b) acquired
by a previous exchange from shares purchased with a sales load, or (c)
acquired through reinvestment of dividends or distributions paid with respect
to the foregoing categories of shares. To qualify, at the time of your
exchange you must notify the Transfer Agent or your Service Agent must notify
the Distributor. Any such qualification is subject to confirmation of your
holdings through a check of appropriate records. See "Shareholder Services"
in the Statement of Additional Information. No fees currently are charged
shareholders directly in connection with exchanges, although the Fund
reserves the right, upon not less than 60 days' written notice, to charge
shareholders a nominal fee in accordance with rules promulgated by the
Securities and Exchange Commission. The Fund reserves the right to reject any
exchange request in whole or in part. The availability of Fund Exchanges may
be modified or terminated at any time upon notice to shareholders.
        The exchange of shares of one fund for shares of another is treated
for Federal income tax purposes as a sale of the shares given in exchange by
the shareholder and, therefore, an exchanging shareholder may realize a
taxable gain or loss.
AUTO-EXCHANGE PRIVILEGE -- Auto-Exchange Privilege enables you to invest
regularly (on a semi-monthly, monthly, quarterly or annual basis), in
exchange for shares of the Fund, in shares of other funds in the Dreyfus
Family of Funds of which you are currently an investor. The amount you
designate, which can be expressed either in terms of a specific dollar or
share amount ($100 minimum), will be exchanged automatically on the first
and/or fifteenth of the month according to the schedule you have selected.
Shares will be exchanged at the then-current net asset value; however, a
sales load may be charged with respect to exchanges into funds sold with a
sales load. See "Shareholder Services" in the Statement of Additional
Information. The right to exercise this Privilege may be modified or
cancelled by the Fund or the Transfer Agent. You may modify or cancel your
exercise of this Privilege at any time by writing to The Dreyfus Family of
Funds, P.O. Box 9671, Providence, Rhode Island 02940-9671. The Fund may
charge a service fee for the use of this Privilege. No such fee currently is
contemplated. The exchange of shares of one fund for shares of another is
treated for Federal income tax purposes as a sale of the shares given in
exchange by the shareholder and, therefore, an exchanging shareholder may
realize a taxable gain or loss. For more information concerning this
Privilege and the funds in the Dreyfus Family of Funds eligible to
participate in this Privilege, or to obtain a Auto-Exchange Authorization
Form, please call toll free 1-800-645-6561.

AUTOMATIC ASSET BUILDERRegistration Mark -- AUTOMATIC Asset Builder permits
you to purchase Fund shares (minimum of $100 and maximum of $150,000 per
transaction) at regular intervals selected by you. Fund shares are purchased
by transferring funds from the bank account designated by you. At your
option, the bank account designated by you will be debited in the specified
amount, and Fund shares will be purchased, once a month, on either the first
or fifteenth day, or twice a month, on both days. Only an account maintained
at a domestic financial institution that is an Automated Clearing House
member may be so designated. To establish an AUTOMATIC Asset Builder account,
you must file an authorization form with the Transfer Agent. You may obtain
the necessary authorization form from
                                   Page 13
your Service Agent or by calling 1-800-645-6561. You may cancel your
participation in this Privilege or change the amount of purchase at any
time by mailing written notification to The Dreyfus Family of Funds,
P.O. Box 9671, Providence, Rhode Island 02940-9671, and the notification
will be effective three business days following receipt.  The Fund may modify
or terminate this Privilege at any time or charge a service fee. No such fee
currently is contemplated.

GOVERNMENT DIRECT DEPOSIT PRIVILEGE -- Government Direct Deposit Privilege
enables you to purchase Fund shares (minimum of $100 and maximum of $50,000
per transaction) by having Federal salary, Social Security, or certain
veterans', military or other payments from the Federal government automaticall
y deposited into your Fund account. You may deposit as much of such payments
as you elect. To enroll in Government Direct Deposit, you must file with the
Transfer Agent a completed Direct Deposit Sign-Up Form for each type of
payment that you desire to include in this Privilege. The appropriate form
may be obtained from your Service Agent or by calling 1-800-645-6561. Death
or legal incapacity will terminate your participation in this Privilege. You
may elect at any time to terminate your participation by notifying in writing
the appropriate Federal agency. Further, the Fund may terminate your
participation upon 30 days' notice to you.
QUARTERLY DISTRIBUTION PLAN -- The Quarterly Distribution Plan permits you to
receive quarterly payments from the Fund consisting of proceeds from the
redemption of shares purchased for your account through the automatic
reinvestment of dividends declared on your account during the preceding
calendar quarter. To open a Quarterly Distribution Plan, contact the Transfer
Agent. The Plan may be ended at any time by you, the Fund or the Transfer
Agent. Shares for which certificates have been issued must be presented
before redemption under the Plan.
DIVIDEND OPTIONS -- Dividend Sweep enables you to invest automatically
dividends or dividends and capital gain distributions, if any, paid by the
Fund in shares of another fund in the Dreyfus Family of Funds of which you
are a shareholder. Shares of the other fund will be purchased at the
then-current net asset value; however, a sales load may be charged with
respect to investments in shares of a fund sold with a sales load. If you are
investing in a fund that charges a sales load, you may qualify for share
prices that do not include the sales load or which reflect a reduced sales
load. See "Shareholder Services" in the Statement of Additional Information.
Dividend ACH permits you to transfer electronically on the payment date
dividends or dividends and capital gain distributions, if any, from the Fund
to a designated bank account. Only an account maintained at a domestic
financial institution that is an Automated Clearing House member may be so
designated. Banks may charge a fee for this service.
        For more information concerning these privileges or to request a
Dividend Options Form, please call toll free 1-800-645-6561. You may cancel
these privileges by mailing written notification to The Dreyfus Family of
Funds, P.O. Box 9671, Providence, Rhode Island 02940-9671. Enrollment in or
cancellation of these privileges is effective three business days following
receipt. These privileges are available only for existing accounts and may
not be used to open new accounts. Minimum subsequent investments do not apply
for Dividend Sweep. The Fund may modify or terminate these privileges at any
time or charge a service fee. No such fee currently is contemplated.
PAYROLL SAVINGS PLAN -- Payroll Savings Plan permits you to purchase Fund
shares (minimum of $100 per transaction) automatically on a regular basis.
Depending upon your employer's direct deposit program, you may have part or
all of your paycheck transferred to your existing Dreyfus account
electronically through the Automated Clearing House system at each pay
period. To establish a Payroll Savings Plan account, you must file an
authorization form with your employer's payroll department. Your employer
must complete the reverse side of the form and return it to The Dreyfus
Family of Funds, P.O. Box 9671, Providence, Rhode Island 02940-9671. You may
obtain the necessary authorization form by calling 1-800-645-6561. You may
change the amount of purchase or cancel the authorization only by written
notification to your employer. It is the sole responsibility of your
employer,
                                   Page 14
 not the Distributor, The Dreyfus Corporation, the Fund, the
Transfer Agent or any other person, to arrange for transactions under the
Payroll Savings Plan. The Fund may modify or terminate this Privilege at any
time or charge a service fee. No such fee currently is contemplated.
AUTOMATIC WITHDRAWAL PLAN -- Automatic Withdrawal Plan permits you to request
withdrawal of a specified dollar amount (minimum of $50) on either a monthly
or quarterly basis if you have a $5,000 minimum account. An Application for
Automatic Withdrawal Plan can be obtained by calling 1-800-645-6561. There is
a service charge of 50cents for each withdrawal check. The Automatic
Withdrawal Plan may be ended at any time by you, the Fund or the Transfer
Agent. Shares for which certificates have been issued may not be redeemed
through the Automatic Withdrawal Plan.
HOW TO REDEEM FUND SHARES
GENERAL -- You may request redemption of your shares at any time. Redemption
requests should be transmitted to the Transfer Agent as described below. When
a request is received in proper form, the Fund will redeem the shares at the
next determined net asset value.

     The Fund imposes no charges when shares are redeemed. Service Agents
may charge a nominal fee for effecting redemptions of Fund shares. Any
certificates representing Fund shares being redeemed must be submitted with
the redemption request. The value of the shares redeemed may be more or less
than their original cost, depending upon the Fund's then-current net asset
value.

        The Fund ordinarily will make payment for all shares redeemed within
seven days after receipt by the Transfer Agent of a redemption request in
proper form, except as provided by the rules of the Securities and Exchange
Commission. HOWEVER, IF YOU HAVE PURCHASED FUND SHARES BY CHECK OR THROUGH AUT
OMATIC ASSET BUILDER AND SUBSEQUENTLY SUBMIT A WRITTEN REDEMPTION REQUEST TO
THE TRANSFER AGENT, YOUR REDEMPTION WILL BE EFFECTIVE AND THE REDEMPTION
PROCEEDS WILL BE TRANSMITTED TO YOU PROMPTLY UPON BANK CLEARANCE OF YOUR
PURCHASE CHECK OR AUTOMATIC ASSET BUILDER ORDER, WHICH MAY TAKE UP TO EIGHT
BUSINESS DAYS OR MORE. IN ADDITION, THE FUND WILL NOT HONOR REDEMPTION CHECKS
UNDER THE CHECK REDEMPTION PRIVILEGE, AND WILL REJECT REQUESTS TO REDEEM
SHARES BY WIRE OR TELEPHONE, FOR A PERIOD OF EIGHT BUSINESS DAYS AFTER
RECEIPT BY THE TRANSFER AGENT OF THE PURCHASE CHECK OR THE AUTOMATIC ASSET
BUILDER ORDER AGAINST WHICH SUCH REDEMPTION IS REQUESTED. THESE PROCEDURES
WILL NOT APPLY IF YOUR SHARES WERE PURCHASED BY WIRE PAYMENT, OR IF YOU
OTHERWISE HAVE A SUFFICIENT COLLECTED BALANCE IN YOUR ACCOUNT TO COVER THE
REDEMPTION REQUEST. PRIOR TO THE TIME ANY REDEMPTION IS EFFECTIVE, DIVIDENDS
ON SUCH SHARES WILL ACCRUE AND BE PAYABLE, AND YOU WILL BE ENTITLED TO
EXERCISE ALL OTHER RIGHTS OF BENEFICIAL OWNERSHIP. Fund shares will not be
redeemed until the Transfer Agent has received your Account Application.
        The Fund reserves the right to redeem your account at its option upon
not less than 45 days' written notice if your account's net asset value is
$500 or less and remains so during the notice period.
PROCEDURES -- You may redeem Fund shares by using the regular redemption
procedure through the Transfer Agent, the Check Redemption Privilege, the
Wire Redemption Privilege, the Telephone Redemption Privilege, or, if you are
a client of a Selected Dealer, through the Selected Dealer. If you have given
your Service Agent authority to instruct the Transfer Agent to redeem shares
and to credit the proceeds of such redemptions to a designated account at
your Service Agent, you may redeem shares only in this manner and in
accordance with the regular redemption procedure described below. If you wish
to use the other redemption methods described below, you must arrange with
your Service Agent for delivery of the required application(s) to the
Transfer Agent. Other redemption procedures may be in effect for clients of
certain Service Agents. The Fund makes available to certain large
institutions the ability to issue redemption instructions through compatible
computer facilities.
        You may redeem Fund shares by telephone if you have checked the
appropriate box on the Fund's Account Application or have filed a Shareholder
Services Form with the Transfer Agent. If you select a
                                   Page 15
 telephone redemption
privilege or telephone exchange privilege (which is granted automatically
unless you refuse it), you authorize the Transfer Agent to act on telephone
instructions from any person representing himself or herself to be you, or a
representative of your Service Agent, and reasonably believed by the Transfer
Agent to be genuine. The Fund will require the Transfer Agent to employ
reasonable procedures, such as requiring a form of personal identification,
to confirm that instructions are genuine and, if it does not follow such
procedures, the Fund or the Transfer Agent may be liable for any losses due
to unauthorized or fraudulent instructions. Neither the Fund nor the Transfer
Agent will be liable for following telephone instructions reasonably believed
to be genuine.
        During times of drastic economic or market conditions, you may
experience difficulty in contacting the Transfer Agent by telephone to
request a redemption or exchange of Fund shares. In such cases, you should
consider using the other redemption procedures described herein. Use of these
other redemption procedures may result in your redemption request being
processed at a later time than it would have been if telephone redemption had
been used.
REGULAR REDEMPTION -- Under the regular redemption procedure, you may redeem
shares by written request mailed to The Dreyfus Family of Funds, P.O. Box
9671, Providence, Rhode Island 02940-9671. Redemption requests may be
delivered in person only to the Dreyfus Financial Center located in the lobby
of 200 Park Avenue, New York, New York. THESE REQUESTS WILL BE FORWARDED TO
THE FUND AND WILL BE PROCESSED ONLY UPON RECEIPT THEREBY. Redemption requests
must be signed by each shareholder, including each owner of a joint account,
and each signature must be guaranteed. The Transfer Agent has adopted
standards and procedures pursuant to which signature-guarantees in proper
form generally will be accepted from domestic banks, brokers, dealers, credit
unions, national securities exchanges, registered securities associations,
clearing agencies and savings associations, as well as from participants in
the New York Stock Exchange Medallion Signature Program, the Securities
Transfer Agents Medallion Program ("STAMP"), and the Stock Exchanges
Medallion Program. If you have any questions with respect to
signature-guarantees, please call one of the telephone numbers listed under
"General Information."
        Redemption proceeds of at least $1,000 will be wired to any member
bank of the Federal Reserve System in accordance with a written
signature-guaranteed request.
CHECK REDEMPTION PRIVILEGE -- You may request on the Account Application,
Shareholder Services Form or by later written request that the Fund provide
Redemption Checks drawn on the Fund's account. Redemption Checks may be made
payable to the order of any person in the amount of $500 or more. Redemption
Checks should not be used to close your account. Redemption Checks are free,
but the Transfer Agent will impose a fee for stopping payment of a Redemption
Check upon your request or if the Transfer Agent cannot honor a Redemption
Check due to insufficient funds or other valid reason. You should date your
Redemption Checks with the current date when you write them. Please do not
postdate your Redemption Checks. If you do, the Transfer Agent will honor,
upon presentment, even if presented before the date of the check, all
postdated Redemption Checks which are dated within six months of presentment
for payment, if they are otherwise in good order. Shares for which
certificates have been issued may not be redeemed by Redemption Check. This
Privilege may be modified or terminated at any time by the Fund or the
Transfer Agent upon notice to shareholders.
WIRE REDEMPTION PRIVILEGE -- You may request by wire or telephone that
redemption proceeds (minimum $1,000) be wired to your account at a bank that
is a member of the Federal Reserve System, or a correspondent bank if your
bank is not a member. To establish the Wire Redemption Privilege, you must
check the appropriate box and supply the necessary information on the Fund's
Account Application or file a Shareholder Services Form with the Transfer
Agent. You may direct that redemption proceeds be paid by check (maximum
$150,000 per day) made out to the owners of record and mailed to your
address. Redemption proceeds of less than $1,000 will be paid automatically
by
                                   Page 16
 check. Holders of jointly registered Fund or bank accounts may have
redemption proceeds of not more than $250,000 wired within any 30-day period.
You may telephone redemption requests by calling
1-800-221-4060 or, if you are calling from overseas, call 1-401-455-3306. The
Fund reserves the right to refuse any redemption request, including requests
made shortly after a change of address, and may limit the amount involved or
the number of such requests. This Privilege may be modified or terminated at
any time by the Transfer Agent or the Fund. The Fund's Statement of
Additional Information sets forth instructions for transmitting redemption
requests by wire. Shares for which certificates have been issued are not
eligible for this Privilege.
TELEPHONE REDEMPTION PRIVILEGE -- You may redeem Fund shares (maximum
$150,000 per day) by telephone if you have checked the appropriate box on the
Fund's Account Application or have filed a Shareholder Services Form with the
Transfer Agent. The redemption proceeds will be paid by check and mailed to
your address. You may telephone redemption instructions by calling
1-800-221-4060 or, if you are calling from overseas, call 1-401-455-3306. The
Fund reserves the right to refuse any request made by telephone, including
requests made shortly after a change of address, and may limit the amount
involved or the number of telephone redemption requests. This Privilege may
be modified or terminated at any time by the Transfer Agent or the Fund.
Shares for which certificates have been issued are not eligible for this
Privilege.
REDEMPTION THROUGH A SELECTED DEALER -- If you are a customer of a Selected
Dealer, you may make redemption requests to your Selected Dealer. If the
Selected Dealer transmits the redemption request so that it is received by
the Transfer Agent by 12:00 Noon, New York time, on a business day, the
proceeds of the redemption ordinarily will be transmitted in Federal Funds on
the same day and the shares will not receive the dividend declared on that
day. If a redemption request is received by the Transfer Agent after 12:00
Noon, New York time, the shares will receive the dividend declared on that
day and the proceeds of redemption ordinarily will be transmitted in Federal
Funds on the next business day. It is the responsibility of the Selected
Dealer to transmit a request so that it is received in a timely manner. The
proceeds of the redemption are credited to your account with the Selected
Dealer.
DISTRIBUTION PLAN
(Class B Only)
        Under the Distribution Plan, adopted pursuant to Rule 12b-1 under the
Investment Company Act of 1940, the Fund directly bears, with respect to
Class B, the costs of preparing, printing and distributing prospectuses and
statements of additional information and of implementing and operating the
Distribution Plan. In addition, the Fund reimburses the Distributor for
payments made to third parties for distributing (within the meaning of Rule
12b-1) Class B shares at an aggregate annual rate of up to .20 of 1% of the
value of the average daily net assets of Class B.
SHAREHOLDER SERVICES PLANS
CLASS A -- The Fund has adopted a Shareholder Services Plan with respect to
Class A pursuant to which the Fund reimburses Dreyfus Service Corporation, a
wholly-owned subsidiary of The Dreyfus Corporation, an amount not to exceed
an annual rate of .25 of 1% of the value of the average daily net assets of
Class A for certain allocated expenses of providing personal services and/or
maintaining shareholder accounts. The services provided may include personal
services relating to shareholder accounts, such as answering shareholder
inquiries regarding the Fund and providing reports and other information, and
services related to the maintenance of shareholder accounts.

CLASS B -- The Fund has adopted a Shareholder Services Plan with respect to
Class B pursuant to which the Fund pays the Distributor for the provision of
certain services to the holders of Class B shares a fee at the annual rate of
 .25 of 1% of the value of the average daily net assets of Class B. The
services provided may include personal services relating to shareholder
accounts, such as answering shareholder
                                   Page 17
 inquiries regarding the Fund and
providing reports and other information, and services related to the maintenan
ce of such shareholder accounts. Under the Shareholder Services Plan, the
Distributor may make payments to Service Agents in respect of these services.
The Distributor determines the amounts to be paid to Service Agents. Each
Service Agent is required to disclose to its clients any compensation payable
to it by the Fund pursuant to the Shareholder Services Plan and any other
compensation payable by their clients in connection with the investment of
their assets in Fund shares.

DIVIDENDS, DISTRIBUTIONS AND TAXES
        The Fund ordinarily declares dividends from its net investment income
on each day the New York Stock Exchange is open for business. Dividends
usually are paid on the last calendar day of each month and are automatically
reinvested in additional Fund shares at net asset value or, at your option,
paid in cash. The Fund's earnings for Saturdays, Sundays and holidays are
declared as dividends on the preceding business day. If you redeem all shares
in your account at any time during the month, all dividends to which you are
entitled will be paid to you along with the proceeds of the redemption.
Distributions from net realized securities gains, if any, generally are
declared and paid once a year, but the Fund may make distributions on a more
frequent basis to comply with the distribution requirements of the Code, in
all events in a manner consistent with the provisions of the Investment
Company Act of 1940. The Fund will not make distributions from net realized
securities gains unless capital loss carryovers, if any, have been utilized
or have expired. You may choose whether to receive distributions in cash or
to reinvest in additional Fund shares at net asset value. All expenses are
accrued daily and deducted before declaration of dividends to investors.
Dividends paid by each Class will be calculated at the same time and in the
same manner and will be of the same amount, except that the expenses
attributable solely to a Class will be borne exclusively by such Class. Class
B shares will receive lower per share dividends than Class A shares because
of the higher expenses borne by Class B. See "Annual Fund Operating
Expenses."
        Except for dividends from Taxable Investments, the Fund anticipates
that substantially all dividends paid by the Fund will not be subject to
Federal income tax. Dividends derived from Taxable Investments, together with
distributions from any net realized short-term securities gains and all or a
portion of any gains realized from the sale or other disposition of certain
market discount bonds, paid by the Fund are subject to Federal income tax as
ordinary income, whether received in cash or reinvested in additional Fund
shares. No dividend paid by the Fund will qualify for the dividends received
deduction allowable to certain U.S. corporations. Distributions from net
realized long-term securities gains of the Fund generally are taxable as
long-term capital gains for Federal income tax purposes if you are a citizen
or resident of the United States. The Code provides that the net capital gain
of an individual generally will not be subject to Federal income tax at a
rate in excess of 28%. Under the Code, interest on indebtedness incurred or
continued to purchase or carry Fund shares which is deemed to relate to
exempt-interest dividends is not deductible. Dividends and distributions may
be subject to state and local taxes.
        Taxable dividends derived from net investment income, together with
distributions from net realized short-term securities gains and all or a
portion of any gains realized from the sale or other disposition of certain
market discount bonds, paid by the Fund to a foreign investor generally are
subject to U.S. nonresident withholding taxes at the rate of 30%, unless the
foreign investor claims the benefit of a lower rate specified in a tax
treaty. Distributions from net realized long-term securities gains paid by
the Fund to a foreign investor generally will not be subject to U.S.
nonresident withholding tax. However, such distributions may be subject to
backup withholding, as described below, unless the foreign investor certifies
his non-U.S. residency status.
                                   Page 18
        Although all or a substantial portion of the dividends paid by the
Fund may be excluded by shareholders of the Fund from their gross income for
Federal income tax purposes, the Fund may purchase specified private activity
bonds, the interest from which may be (i) a preference item for purposes of
the alternative minimum tax, (ii) a component of the "adjusted current
earnings" preference item for purposes of the corporate alternative minimum
tax as well as a component in computing the corporate environmental tax or
(iii) a factor in determining the extent to which a shareholder's Social
Security benefits are taxable. If the Fund purchases such securities, the
portion of the Fund's dividends related thereto will not necessarily be tax
exempt to an investor who is subject to the alternative minimum tax and/or
tax on Social Security benefits and may cause an investor to be subject to
such taxes.
        Notice as to the tax status of your dividends and distributions will
be mailed to you annually. You also will receive periodic summaries of your
account which will include information as to dividends and distributions from
securities gains, if any, paid during the year. These statements set forth
the dollar amount of income exempt from Federal tax and the dollar amount, if
any, subject to Federal tax. These dollar amounts will vary depending on the
size and length of time of your investment in the Fund. If the Fund pays
dividends derived from taxable income, it intends to designate as taxable the
same percentage of the day's dividend as the actual taxable income earned on
that day bears to total income earned on that day. Thus, the percentage of
the dividend designated as taxable, if any, may vary from day to day.
        Federal regulations generally require the Fund to withhold ("backup
withholding") and remit to the U.S. Treasury 31% of taxable dividends and
distributions from net realized securities gains of the Fund paid to a
shareholder if such shareholder fails to certify either that the TIN
furnished in connection with opening an account is correct or that such
shareholder has not received notice from the IRS of being subject to backup
withholding as a result of a failure to properly report taxable dividend or
interest income on a Federal income tax return.  Furthermore, the IRS may notify
the Fund to institute backup withholding if the IRS determines a
shareholder's TIN is incorrect or if a shareholder has failed to properly
report taxable dividend and interest income on a Federal income tax return.
        A TIN is either the Social Security number or employer identification
number of the record owner of the account. Any tax withheld as a result of
backup withholding does not constitute an additional tax imposed on the
record owner of the account, and may be claimed as a credit on the record
owner's Federal income tax return.
        Management of the Fund believes that the Fund has qualified for the
fiscal year ended November 30, 1994 as a "regulated investment company" under
the Code. The Fund intends to continue to so qualify if such qualification is
in the best interests of its shareholders. Such qualification relieves the
Fund of any liability for Federal income tax to the extent its earnings are
distributed in accordance with applicable provisions of the Code. The Fund is
subject to a non-deductible 4% excise tax, measured with respect to certain
undistributed amounts of taxable investment income and capital gains.
        You should consult your tax adviser regarding specific questions as
to Federal, state or local taxes.
GENERAL INFORMATION

        The Fund was incorporated under Maryland law on April 8, 1982, and
commenced operations on December 21, 1983. On October 16, 1990, the Fund's
name was changed from General Tax Exempt Money Market Fund, Inc. to General
Municipal Money Market Fund, Inc. The Fund is authorized to issue 15 billion
shares Class A of Common Stock and one billion shares of Class B Common
Stock, par value $.01 per share. The Fund's shares are classified into two
classes_Class A and Class B. Each share has one vote and shareholders will
vote in the aggregate and not by Class except as otherwise required by law.

        Unless otherwise required by the Investment Company Act of 1940,
ordinarily it will not be necessary for the Fund to hold annual meetings of
shareholders. As a result, Fund shareholders may not
                                   Page 19
consider each year the
election of Directors or the appointment of auditors. However, pursuant to
the Fund's By-Laws, the holders of at least 10% of the shares outstanding and
entitled to vote may require the Fund to hold a special meeting of
shareholders for the purpose of removing a Director from office and the
holders of at least 25% of such shares may require the Fund to hold a special
meeting of shareholders for any other purpose. Fund shareholders may remove a
Director by the affirmative vote of a majority of the Fund's outstanding
voting shares. In addition, the Board of Directors will call a special
meeting of shareholders for the purpose of electing Directors if, at any
time, less than a majority of the Directors then holding office have been
elected by shareholders.
        The Transfer Agent maintains a record of your ownership and sends
confirmations and statements of account.
        Shareholder inquiries may be made to your Service Agent or by writing
to the Fund at 144 Glenn Curtiss Boulevard, Uniondale, New York 11556-0144,
or by calling toll free 1-800-242-8671. In New York City, call
1-718-895-1396; on Long Island, call 794-5452.
        NO PERSON HAS BEEN AUTHORIZED TO GIVE ANY INFORMATION OR TO MAKE ANY
REPRESENTATIONS OTHER THAN THOSE CONTAINED IN THIS PROSPECTUS AND IN THE
FUND'S OFFICIAL SALES LITERATURE IN CONNECTION WITH THE OFFER OF THE FUND'S
SHARES, AND, IF GIVEN OR MADE, SUCH OTHER INFORMATION OR REPRESENTATIONS MUST
NOT BE RELIED UPON AS HAVING BEEN AUTHORIZED BY THE FUND. THIS PROSPECTUS
DOES NOT CONSTITUTE AN OFFER IN ANY STATE IN WHICH, OR TO ANY PERSON TO WHOM,
SUCH OFFERING MAY NOT LAWFULLY BE MADE.

First Albany Corporation
Service Agent

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